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Finding the Fourth Proportional to 1,787.52, 2,459.46 and 1,746.09

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Solution

The fourth proportional to 1,787.52, 2,459.46 and 1,746.09 is: 2,402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.52 : 2,459.46 = 1,746.09 : x
  2. Step 2: Convert to fraction form
    1,787.52/2,459.46 = 1,746.09/x
  3. Step 3: Cross multiply
    1,787.52x = 2,459.46 × 1,746.09
  4. Step 4: Simplify right side
    1,787.52x = 4,294,438.51
  5. Step 5: Solve for x
    x = 4,294,438.51/1,787.52
  6. Step 6: Final answer
    x = 2,402.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.